Marcelo Aguiar

Geometry and Topology · 2000–2017

A researcher in the Science corpus: 13 papers; trusts 27 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 62 citations into it; #335 of 7,422 by trust here, #387 by citations
• Algebra and Number Theory — 56 citations into it; #97 of 2,864 by trust here, #195 by citations
• Discrete Mathematics and Combinatorics — 55 citations into it; #273 of 2,017 by trust here, #138 by citations
• Mathematical Physics — 37 citations into it; #600 of 8,562 by trust here, #1,658 by citations
• Computational Theory and Mathematics — 29 citations into it
• Electrical and Electronic Engineering — 6 citations into it

Whom Marcelo Aguiar trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jean-Louis Loday
2. Ralf Holtkamp
3. Frank Sottile
4. Kenneth S. Brown
5. Michael Anshelevich
6. Alexander Postnikov
7. N. Andruskiewitsch
8. Bruce E. Sagan
9. Frédéric Chapoton
10. Harm Derksen

Who trusts Marcelo Aguiar overall

1. Kurusch Ebrahimi-Fard
2. Li Guo
3. Apurba Kumar Das
4. Chengming Bai
5. Loïc Foissy
6. Yi Zhang
7. Jean-Louis Loday
8. T. Kyle Petersen
9. Swapneel Mahajan
10. Dominique Manchon

Papers from Marcelo Aguiar's perspective

Ordered by how strongly the researchers Marcelo Aguiar trusts endorse each paper. Same corpus, a different order for every researcher.

1. Monoidal Functors, Species, and Hopf Algebras
2. A Chromatic Symmetric Function in Noncommuting Variables
3. Symmetric functions in noncommuting variables
4. A super-class walk on upper-triangular matrices
5. Supercharacters and superclasses for algebra groups
6. Polynomial realizations of some trialgebras
7. Supercharacter Theory Constructions Corresponding to Schur Ring Products
8. Branching rules in the ring of superclass functions of unipotent upper-triangular matrices
9. Comparison of Hopf algebras on trees
10. Structure of The Malvenuto-Reutenauer Hopf Algebra of Permutations (Extended Abstract)

Their papers

• Topics in Hyperplane Arrangements (2017) — 115 citations
• Hopf Monoids and Generalized Permutahedra (2017) — 101 citations
• HOPF MONOIDS IN THE CATEGORY OF SPECIES (2012) — 55 citations
• Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (2010) — 95 citations
• Monoidal Functors, Species, and Hopf Algebras (2010) — 451 citations
• Structure of the Loday–Ronco Hopf algebra of trees (2004) — 87 citations
• Cocommutative Hopf Algebras of Permutations and Trees (2004) — 47 citations
• The peak algebra and the descent algebras of types B and D (2003) — 67 citations
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations (2003) — 278 citations
• Structure of The Malvenuto-Reutenauer Hopf Algebra of Permutations (Extended Abstract) (2002) — 159 citations
• Infinitesimal bialgebras, pre-Lie and dendriform algebras (2002) — 93 citations
• On the Associative Analog of Lie Bialgebras (2001) — 246 citations
• Pre-Poisson Algebras (2000) — 308 citations